In this paper, we obtain coupled coincidence and coupled fixed points of mappings satisfying a non linear contractive condition in partially ordered partial metric spaces. Our results generalize the theorems of H.Aydi [4] and W. Shatanawi et.al. [20]. We also provide an example to support our results. AMS (MOS) Subject Classification Codes: 54H25, 47H10

Overlap coincidence is an equivalent criterion to pure discrete spectrum of the dynamics of self-affine tilings in R. In the case of d = 1, strong coincidence on m-letter irreducible substitution has been introduced in [10, 8] which implies that the system is metrically conjugate to a domain exchange in Rm−1. However being a domain exchange does not imply the property of pure discrete spectrum ...

We first establish some existence results concerning approximate coincidence point properties and approximate fixed point properties for various types of nonlinear contractive maps in the setting of cone metric spaces and general metric spaces. From these results, we present some new coincidence point and fixed point theorems which generalize Berinde-Berinde’s fixed point theorem, Mizoguchi-Tak...

Von Neumann proved the minimax theorem (existence of a saddle-point solution to 2 person, zero sum games) in 1928. While his second article on the minimax theorem, stating the proof, has long been translated from German, his first announcement of his result (communicated in French to the Academy of Sciences in Paris by Borel, who had posed the problem settled by Von Neumann’s proof) is translat...